Finding the Fourth Proportional to 9,714.57, 14,566.68 and 3,793.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,714.57 : 14,566.68 = 3,793.47 : x
2. Step 2: Convert to fraction form
   9,714.57/14,566.68 = 3,793.47/x
3. Step 3: Cross multiply
   9,714.57x = 14,566.68 × 3,793.47
4. Step 4: Simplify right side
   9,714.57x = 55,258,263.58
5. Step 5: Solve for x
   x = 55,258,263.58/9,714.57
6. Step 6: Final answer
   x = 5,688.18